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SOLVING PAINLEVE EQUATION OF TYPE 1 USING HOMOTOPY PADE METHOD
G. Hojjati,H. Kheiri,S. IRANDOUST-PAKCHIN 장전수학회 2013 Advanced Studies in Contemporary Mathematics Vol.23 No.2
In this paper we use homotopy Pad´e method for solving Painlev¢¥e equation of type 1. The ability of this method in overcoming on the singular points difficulty, makes it to be efficient method in deal with Painlev¢¥e equation.
Homotopy analysis and Homotopy Pade methods for mixed Volterra-Fredholm integral equations
S. Fazeli,H. Kheiri,G. Hojjati 장전수학회 2010 Advanced Studies in Contemporary Mathematics Vol.20 No.4
In this paper, approximate analytical solution of the mixed Volterra-Fredholm inte-gral equation is obtained by the Homotopy analysis and the Homotopy Pade methods. The obtained approximation by using Homotopy method contains an auxiliary parameter which is a simple way to control and adjust the convergence region and rate of solution series. The approximation solutions by [m,m] Homotopy Pade technique is often independent of auxiliary parameter h and this technique accelerates the convergence of the related series.